Correlation

Goals

I am starting to investigate what is going on in small scales in my co-evolution simulation. I decided to get newt and snake information and see in they were correlated in 5-5 grids. I collected correlated data from the GA experiments from the 5,000, 20,000, and 100,000 simulations. I also will examine how the correlation values change when the grid has more boxes (smaller area to compare).

GA1 experiment values

• 1e-8*(0.005)^2 = 2.5e-13
• 1e-9*(0.05)^2 = 2.5e-12
• 1e-10*(0.5)^2 = 2.5e-11
• 1e-11*(5.0)^2 = 2.5e-10

GA2 experiment values

• 1e-8*(0.05)^2 = 2.5e-11
• 1e-9*(0.1581139)^2 = 2.5e-11
• 1e-10*(0.5)^2 = 2.5e-11
• 1e-11*(1.581139)^2 = 2.5e-11
• 1e-12*(5)^2 = 2.5e-11

collected info: mean_newt_pheno_By_mean_snake_pheno = cor(c(newt_mean_pheno), c(snake_mean_pheno)); num_newts_By_num_snakes = cor(c(newt_sum_ind), c(snake_sum_ind)); sum_newt_pheno_By_num_snake = cor(c(newt_sum_pheno), c(snake_sum_ind)); sum_snake_pheno_By_num_newt = cor(c(snake_sum_pheno), c(newt_sum_ind)); sum_newt_pheno_By_num_newt = cor(c(newt_sum_pheno), c(newt_sum_ind)); sum_snake_pheno_By_snake_newt = cor(c(snake_sum_pheno), c(snake_sum_ind));

Tested Grids

• (5, 5)
• (8, 8)
• (10, 10)
• (20, 20)

## [1] "Simulation A: Snake mu-rate & effect sd (1.0e-08, 0.005) Newt mu-rate & effect sd (1.0e-08, 0.005)"
## [1] "Simulation B: Snake mu-rate & effect sd (1.0e-08, 0.005) Newt mu-rate & effect sd (1.0e-09, 0.05)"
## [1] "Simulation C: Snake mu-rate & effect sd (1.0e-08, 0.005) Newt mu-rate & effect sd (1.0e-10, 0.5)"
## [1] "Simulation D: Snake mu-rate & effect sd (1.0e-08, 0.005) Newt mu-rate & effect sd (1.0e-11, 5.0)"
## [1] "Simulation E: Snake mu-rate & effect sd (1.0e-09, 0.05) Newt mu-rate & effect sd (1.0e-08, 0.005)"
## [1] "Simulation F: Snake mu-rate & effect sd (1.0e-09, 0.05) Newt mu-rate & effect sd (1.0e-09, 0.05)"
## [1] "Simulation G: Snake mu-rate & effect sd (1.0e-09, 0.05) Newt mu-rate & effect sd (1.0e-10, 0.5)"
## [1] "Simulation H: Snake mu-rate & effect sd (1.0e-09, 0.05) Newt mu-rate & effect sd (1.0e-11, 5.0)"
## [1] "Simulation I: Snake mu-rate & effect sd (1.0e-10, 0.5) Newt mu-rate & effect sd (1.0e-08, 0.005)"
## [1] "Simulation J: Snake mu-rate & effect sd (1.0e-10, 0.5) Newt mu-rate & effect sd (1.0e-09, 0.05)"
## [1] "Simulation K: Snake mu-rate & effect sd (1.0e-10, 0.5) Newt mu-rate & effect sd (1.0e-10, 0.5)"
## [1] "Simulation L: Snake mu-rate & effect sd (1.0e-10, 0.5) Newt mu-rate & effect sd (1.0e-11, 5.0)"
## [1] "Simulation M: Snake mu-rate & effect sd (1.0e-11, 5.0) Newt mu-rate & effect sd (1.0e-08, 0.005)"
## [1] "Simulation N: Snake mu-rate & effect sd (1.0e-11, 5.0) Newt mu-rate & effect sd (1.0e-09, 0.05)"
## [1] "Simulation O: Snake mu-rate & effect sd (1.0e-11, 5.0) Newt mu-rate & effect sd (1.0e-10, 0.5)"
## [1] "Simulation P: Snake mu-rate & effect sd (1.0e-11, 5.0) Newt mu-rate & effect sd (1.0e-11, 5.0)"